# Find the quadratic polynomial, the sum of whose zeros is 5/2 and their product is 1. Hence, find the zeroes if their polynomial.

2
by Rohs

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by Rohs

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ab=1

a(5/2-a)=1

5a/2-a^2=1

5a-2a^2=2

2a^2-5a+2=0

2a^2-4a-a+2=0

(2a-1)(a-2)=0

a=1/2,a=2

if a=2,b=1/2

if a=1/2,b=2